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Numerical and analytical investigations of thermosolutal instability in rotating Rivlin-Ericksen fluid in porous medium with Hall current

查看全文 作  者:[1]S.KUMAR;[2]V.SHARMA;[3]K.KISHOR 高影响力作者 机构地区:[1]Department of Mathematics, Government College;[2]Department of Mathematics, Himachal Pradesh University;[3]Department of Mathematics, Government Senior Secondary School高影响力机构 出  处:《Applied Mathematics and Mechanics(English Edition)》索引2013年第34卷第4期,共22页高影响力期刊 摘  要:Numerical and analytical investigations of the thermosolutal instability in a viscoelastic Rivlin-Ericksen fluid are carried out in the presence of a uniform vertical magnetic field to include the Hall current with a uniform angular velocity in a porous medium. For stationary convection, the stable solute gradient parameter and the rotation have stabilizing effects on the system, whereas the magnetic field and the medium permeability have stabilizing or destabilizing effects on the system under certain conditions. The Hall current in the presence of rotation has stabilizing effects for sufficiently large Taylor numbers, whereas in the absence of rotation, the Hall current always has destabilizing effects. These effects have also been shown graphically. The viscoelastic effects disappear for stationary convection. The stable solute parameter, the rotation, the medium permeability, the magnetic field parameter, the Hall current, and the viscoelasticity introduce oscillatory modes into the system, which are non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. 关 键 词:霍尔电流 粘弹性流体 多孔介质 数值模拟 不稳定 旋转 温盐 垂直磁场
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